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Finding the Fourth Proportional to 32.27, 48.42 and 17.08

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Solution

The fourth proportional to 32.27, 48.42 and 17.08 is: 25.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.27 : 48.42 = 17.08 : x
  2. Step 2: Convert to fraction form
    32.27/48.42 = 17.08/x
  3. Step 3: Cross multiply
    32.27x = 48.42 × 17.08
  4. Step 4: Simplify right side
    32.27x = 826.89
  5. Step 5: Solve for x
    x = 826.89/32.27
  6. Step 6: Final answer
    x = 25.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.